| Date |
Lecture |
Notes |
Assigned Reading |
| Week 1 |
| 1/30 |
Introduction and Basic Definitions, review of induction Snow Day |
|
Chapter 1 |
| Week 2 |
| 2/6 |
The Fundamental Theorem of Arithmetic |
Notes |
Chapter 2 |
| Week 3 |
| 2/13 |
More Fundamental Theorem |
Notes |
Chapter 3 |
| Week 4 |
| 2/20 |
SNOW DAY! |
|
|
| Week 5 |
| 2/27 |
Combinatorial Number Theory |
Notes |
Chapter 3 |
| Week 6 |
| 3/6 |
Congruences |
Notes |
Chapter 4-5 |
| Week 7 |
| 3/13 |
Solving Congruence Equations |
Notes |
Chapter 5 |
| Week 8 |
| 3/20 |
Arithmetic Functions |
Notes |
Chapter 6 |
| Week 9 |
| 3/27 |
Midterm / Prime Numbers |
|
|
| Week 10 |
| 4/3 |
Big Oh and divisor sums |
Notes |
|
| Week 11 |
| 4/10 |
Primitive Roots |
Notes |
|
| Spring Break |
| 4/17 | |
| Week 12 |
| 4/24 |
Counting Primes |
Notes |
|
| Week 13 |
| 5/1 |
Quadratic Residues |
| |
| Week 14 |
| 5/8 |
Proof of Quadratic Reciprocity and Presentations |
|
|
| Week 15 |
| 5/15 |
Final Exam |